19.3.40 Linear Operators

\ (\ underline {\ text {Condition:}} \) A Matrix. b) determine what numbers \ (\ alpha \) display \ (b \) species \ (b x = \ alpha \ cdot m \ cdot x+v \), where \ (m \) is this matrix, \ (v \)-this vector is compressive in space \ (r^ \ (\ | x \ | _ {p} \). c) Find its motionless point for sure, as well as approximately (having made four iterations). \ [M = \ Left (\ Begin {Array} {cc} 9 & 0 \\ -7 & 3 \ End {Array} \ Right), \ Quad v = \ Left (\ Begin {Array} {l} 0 \\ 9 \ end {Array} \ Right), \ Quad P = \ Infty \ Text {. } \]